I just did exactly that two weeks ago so I can provide my 2c.

Two tool kits linked probably have everything you will need, with the possible exception of bottom bracket removal / installation tools (these are specific to each BB type).

While you can do a frame swap using allen wrenches, this is considered poor workmanship and doing it properly requires a torque wrench and a set of metric hex sockets. Failure to tighten things properly can result in various unpleasant experiences like the handlebars twisting inside the stem clamp while riding, crank arms falling off, or (if you overtighten instead of undertightening) in permanent damage to frame or components.

You'll need to get a new set of brake and shifter cables.

If you don't get the exact same frame that you have now, there is a possibility that the new frame will have a different bottom bracket type, so you'd have to buy a different bottom bracket and your current crankset may be incompatible with the new frame.

In addition to tools, you need some sort of lubricant (I have a can of Red Devil grease, it can go anywhere) and, if there are any carbon parts, a graphite paste.